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Simplifying 4(x + 5) + -2x = 5(2x + 7) + -3x Reorder the terms: 4(5 + x) + -2x = 5(2x + 7) + -3x (5 * 4 + x * 4) + -2x = 5(2x + 7) + -3x (20 + 4x) + -2x = 5(2x + 7) + -3x Combine like terms: 4x + -2x = 2x 20 + 2x = 5(2x + 7) + -3x Reorder the terms: 20 + 2x = 5(7 + 2x) + -3x 20 + 2x = (7 * 5 + 2x * 5) + -3x 20 + 2x = (35 + 10x) + -3x Combine like terms: 10x + -3x = 7x 20 + 2x = 35 + 7x Solving 20 + 2x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 2x + -7x = 35 + 7x + -7x Combine like terms: 2x + -7x = -5x 20 + -5x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -5x = 35 + 0 20 + -5x = 35 Add '-20' to each side of the equation. 20 + -20 + -5x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 35 + -20 -5x = 35 + -20 Combine like terms: 35 + -20 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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